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Setler [38]
2 years ago
14

PLEASE HELP

Mathematics
1 answer:
Lapatulllka [165]2 years ago
6 0
The picture is blank for me try it again
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A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct
marishachu [46]
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
    28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
8 0
3 years ago
An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
maks197457 [2]
What you must do in this case is to find the roots of the polynomial.
 We have then:
 x ^ 2 + 20x + 100 = 36
 Rewriting:
 x ^ 2 + 20x + 64 = 0
 The values of the roots are:
 x1 = -4
 x2 = -16
 Remember that the values of the roots are what make the polinome zero
 Answer:
 x1 = -4
 x2 = -16
3 0
3 years ago
The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of
MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean  = 265

standard deviation = 14

The formula for calculating the z score is z = \dfrac{x -\mu}{\sigma}

x = μ + σz

At middle of 50% i.e 0.50

The critical value for z_{\alpha/2} = z_{0.50/2}

From standard normal table

z_{0.25}= + 0.67  or -0.67  

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0
3 years ago
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael’s age
ki77a [65]

Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

<h2>= x − 25 = 39 − 25 = 14 </h2>

* Hopefully this helps:) Mark me the brainliest:)!!!

<em>~234483279c20~</em>

5 0
3 years ago
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